Gog, Magog and Sch\"utzenberger II: Left trapezoids
Combinatorics
2013-05-14 v2
Abstract
We are interested in finding an explicit bijection between two families of combinatorial objects: Gog and Magog triangles. These two families are particular classes of Gelfand-Tsetlin triangles and are respectively in bijection with alternating sign matrices (ASM) and totally symmetric self complementary plane partitions (TSSCPP). For this purpose, we introduce left Gog and GOGAm trapezoids. We conjecture that these two families of trapezoids are equienumerated and we give an explicit bijection between the trapezoids with one or two diagonals.
Keywords
Cite
@article{arxiv.1209.4799,
title = {Gog, Magog and Sch\"utzenberger II: Left trapezoids},
author = {Philippe Biane and Hayat Cheballah},
journal= {arXiv preprint arXiv:1209.4799},
year = {2013}
}
Comments
12pages